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Finding the Third Proportional to 228,832.50 and 492,103.50

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Solution

The third proportional to 228,832.50 and 492,103.50 is: 1,058,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,832.50 : 492,103.50 = 492,103.50 : x
  2. Step 2: Convert to fraction form
    228,832.50/492,103.50 = 492,103.50/x
  3. Step 3: Cross multiply
    228,832.50x = 492,103.50 × 492,103.50
  4. Step 4: Simplify right side
    228,832.50x = 242,165,854,712.25
  5. Step 5: Solve for x
    x = 242,165,854,712.25/228,832.50
  6. Step 6: Final answer
    x = 1,058,266.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.